We give an explicit description of the zonal spherical functions on quantum Grassmann manifolds of orthogonal and symplectic type. A unified parametrization of their zonal spherical functions is given in terms of Macdonald polynomials and Koornwinder's multivariable Askey-Wilson polynomials.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
6
号
2
ページ
335 - 369
発行年
1999
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1706952
Mathmatical Subject Classification
17B37(MSC1991)
33D80(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
Zonal Spherical Functions on Quantum Grassmann Manifolds
jms060203.pdf
(273.28KB)
